|previous answers scalcet8 5.4.059.my notes question part points submissions used the velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t − 8, 0 ≤ t ≤ 5 (a) find the displacement. -5/2 correct: your answer is correct. m (b) find the distance traveled by the particle during the given time interval.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

step-by-step explanation:

the answer is d

step-by-step explanation:

you can also use mathway to get you answer + steps